Find the flux of the vector field F across σ . F ( x , y , z ) = x i + y j + 2 z k; σ is the portion of the cone z 2 = x 2 + y 2 between the planes z = 1 and z = 2 , oriented by upward unit normals.
Find the flux of the vector field F across σ . F ( x , y , z ) = x i + y j + 2 z k; σ is the portion of the cone z 2 = x 2 + y 2 between the planes z = 1 and z = 2 , oriented by upward unit normals.
F
(
x
,
y
,
z
)
=
x
i
+
y
j
+
2
z
k;
σ
is the portion of the cone
z
2
=
x
2
+
y
2
between the planes
z
=
1
and
z
=
2
,
oriented by upward unit normals.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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